I have an overload of lapidary tools -I don't think this is one ( no index, no way to move around the shaft, etc.) I considered a dop transfer jig, based on the gem lap idea, but I cant see how. I think the best lapidary jig is a cabochon jig - a dop with a stone mounted at a right angle on the end ofvthe swivel arm. The whole thing mounted to the front of the grinder. The depth of the center pin would set the dome across the top ov the cab. Then I realized lapidaries aren't that fancy and the slurry would ruin the precision that it looks like this tool has.
First thought was the most complicated graver jig, but again no way to move the assembly over a sharpening stone...
Then I thought perhaps it is some kind of gouge sharpening jig, mounting the gouge in the left end pointing down. Mounted to the front of a grinder you could move a gouge back and forth, pivoting around the centerline set by the center screw. This is just my best swag.
I'll tell you what, it is one of the most adjustable jigs I have seen, if it is a jig.
If it is for a jag it is probably for setting the eindow washer sprayer outlet angle (j/k - mostly brain dead)
Chilly